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Finding the Fourth Proportional to 208,343.60, 311,981.60 and 144,212.88

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Solution

The fourth proportional to 208,343.60, 311,981.60 and 144,212.88 is: 215,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,343.60 : 311,981.60 = 144,212.88 : x
  2. Step 2: Convert to fraction form
    208,343.60/311,981.60 = 144,212.88/x
  3. Step 3: Cross multiply
    208,343.60x = 311,981.60 × 144,212.88
  4. Step 4: Simplify right side
    208,343.60x = 44,991,765,043.01
  5. Step 5: Solve for x
    x = 44,991,765,043.01/208,343.60
  6. Step 6: Final answer
    x = 215,949.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.